20261276988160 has 288 divisors, whose sum is σ = 52714221299712. Its totient is φ = 7416918835200.

The previous prime is 20261276988137. The next prime is 20261276988283. The reversal of 20261276988160 is 6188967216202.

It is a junction number, because it is equal to n+sod(n) for n = 20261276988095 and 20261276988104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4220217760 + ... + 4220222560.

It is an arithmetic number, because the mean of its divisors is an integer number (183035490624).

Almost surely, 2^{20261276988160} is an apocalyptic number.

20261276988160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20261276988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357110649856).

20261276988160 is an abundant number, since it is smaller than the sum of its proper divisors (32452944311552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20261276988160 is a wasteful number, since it uses less digits than its factorization.

20261276988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 20261276988160 in words is "twenty trillion, two hundred sixty-one billion, two hundred seventy-six million, nine hundred eighty-eight thousand, one hundred sixty".